1372 Knight Moves （DFS做法）

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博客围绕旅行骑士问题（TKP）展开，朋友认为确定棋盘上两格间骑士最小移动步数是难题，而实际相反。要求编写程序，输入两格，输出最短移动步数。还提到用BFS比DFS更快，因要找最小值。

A friend of you is doing research on the Traveling Knight Problem (TKP) where you are to find the shortest closed tour of knight moves that visits each square of a given set of n squares on a chessboard exactly once. He thinks that the most difficult part of the problem is determining the smallest number of knight moves between two given squares and that, once you have accomplished this, finding the tour would be easy.
Of course you know that it is vice versa. So you offer him to write a program that solves the "difficult" part.

Your job is to write a program that takes two squares a and b as input and then determines the number of knight moves on a shortest route from a to b.

Input Specification

The input file will contain one or more test cases. Each test case consists of one line containing two squares separated by one space. A square is a string consisting of a letter (a-h) representing the column and a digit (1-8) representing the row on the chessboard.

Output Specification

For each test case, print one line saying "To get from xx to yy takes n knight moves.".

Sample Input

e2 e4
a1 b2
b2 c3
a1 h8
a1 h7
h8 a1
b1 c3
f6 f6

Sample Output

To get from e2 to e4 takes 2 knight moves.
To get from a1 to b2 takes 4 knight moves.
To get from b2 to c3 takes 2 knight moves.
To get from a1 to h8 takes 6 knight moves.
To get from a1 to h7 takes 5 knight moves.
To get from h8 to a1 takes 6 knight moves.
To get from b1 to c3 takes 1 knight moves.
To get from f6 to f6 takes 0 knight moves.

DFS的虽然也能AC但是不如BFS快，因为他是找最小值，BFS显然更快。

#include<cstdio>
#include<iostream>

using namespace std;

int maps[8][8] = {0};
static int dir[2][8] = {{-1, -1, +1, +1, -2, -2, +2, +2},
                        {-2, +2, -2, +2, -1, +1, -1, +1}};

int x2, y2;
int minClue;

bool isThere(int x, int y){
    if(x < 0 || x > 7){
        return false;
    }
    if(y < 0 || y > 7){
        return false;
    }
    return true;
}
int DFS(int x, int y, int l)
{
    if(x==x2&&y==y2 && minClue > l){
            //printf("x:%d y:%d\n", x2, y2);
        minClue = l;
        return 0;
    }
    if(maps[x][y] > l && isThere(x, y)){
        maps[x][y] = l;
        for(int i=0; i<8; i++){
            DFS(x+dir[0][i], y+dir[1][i], l+1);
        }
    }
}

void init()
{
    minClue = 10000;
    for(int i=0; i<8; i++){
        for(int j=0; j<8; j++){
            maps[i][j]=100;
        }
    }
    return;
}

int main()
{

    char s1[5];
    char s2[5];
    int x1,y1;
    while(cin>>s1>>s2){
        init();
        x1 = (int)(s1[0]-'a');
        y1 = (int)(s1[1]-'1');
        x2 = (int)(s2[0]-'a');
        y2 = (int)(s2[1]-'1');
        DFS(x1, y1, 0);
        printf("To get from %s to %s takes %d knight moves.\n",s1,s2, minClue);
    }
    return 0;
}